Finding the Third Proportional to 123,684 and 187,886

Step by Step Solution

1. Step 1: Write the proportion equation
   123,684 : 187,886 = 187,886 : x
2. Step 2: Convert to fraction form
   123,684/187,886 = 187,886/x
3. Step 3: Cross multiply
   123,684x = 187,886 × 187,886
4. Step 4: Simplify right side
   123,684x = 35,301,148,996
5. Step 5: Solve for x
   x = 35,301,148,996/123,684
6. Step 6: Final answer
   x = 285,414.03